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231132320 = 25529109457
BaseRepresentation
bin11011100011011…
…00110010100000
3121002220201221022
431301230302200
5433132213240
634533545012
75504410106
oct1561546240
9532821838
10231132320
11109517151
12654a5168
1338b677b3
14229a7c76
15154589b5
hexdc6cca0

231132320 has 96 divisors (see below), whose sum is σ = 571309200. Its totient is φ = 88252416.

The previous prime is 231132299. The next prime is 231132337. The reversal of 231132320 is 23231132.

It can be written as a sum of positive squares in 8 ways, for example, as 170354704 + 60777616 = 13052^2 + 7796^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505532 + ... + 505988.

Almost surely, 2231132320 is an apocalyptic number.

231132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285654600).

231132320 is an abundant number, since it is smaller than the sum of its proper divisors (340176880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231132320 is a wasteful number, since it uses less digits than its factorization.

231132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 231132320 is about 15203.0365387971. The cubic root of 231132320 is about 613.6963771674.

Adding to 231132320 its reverse (23231132), we get a palindrome (254363452).

The spelling of 231132320 in words is "two hundred thirty-one million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 109 116 145 160 218 232 290 436 457 464 545 580 872 914 928 1090 1160 1744 1828 2180 2285 2320 3161 3488 3656 4360 4570 4640 6322 7312 8720 9140 12644 13253 14624 15805 17440 18280 25288 26506 31610 36560 49813 50576 53012 63220 66265 73120 99626 101152 106024 126440 132530 199252 212048 249065 252880 265060 398504 424096 498130 505760 530120 797008 996260 1060240 1444577 1594016 1992520 2120480 2889154 3985040 5778308 7222885 7970080 11556616 14445770 23113232 28891540 46226464 57783080 115566160 231132320